TSTP Solution File: NUM345+1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM345+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zVFXkLlsMk true
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 12:39:58 EDT 2023
% Result : Theorem 13.71s 2.58s
% Output : Refutation 13.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 29
% Syntax : Number of formulae : 70 ( 28 unt; 15 typ; 0 def)
% Number of atoms : 106 ( 11 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 444 ( 41 ~; 35 |; 8 &; 352 @)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 7 con; 0-4 aty)
% Number of variables : 72 ( 0 ^; 72 !; 0 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
thf(n6_type,type,
n6: $i ).
thf(sk__type,type,
sk_: $i ).
thf(rdnn_type,type,
rdnn: $i > $i ).
thf(rdn_pos_type,type,
rdn_pos: $i > $i ).
thf(n2_type,type,
n2: $i ).
thf(n5_type,type,
n5: $i ).
thf(rdn_digit_add_type,type,
rdn_digit_add: $i > $i > $i > $i > $o ).
thf(n0_type,type,
n0: $i ).
thf(rdn_translate_type,type,
rdn_translate: $i > $i > $o ).
thf(rdn_positive_less_type,type,
rdn_positive_less: $i > $i > $o ).
thf(rdn_add_with_carry_type,type,
rdn_add_with_carry: $i > $i > $i > $i > $o ).
thf(n3_type,type,
n3: $i ).
thf(sum_type,type,
sum: $i > $i > $i > $o ).
thf(less_or_equal_type,type,
less_or_equal: $i > $i > $o ).
thf(less_type,type,
less: $i > $i > $o ).
thf(rdn_positive_less56,axiom,
rdn_positive_less @ ( rdnn @ n5 ) @ ( rdnn @ n6 ) ).
thf(zip_derived_cl15,plain,
rdn_positive_less @ ( rdnn @ n5 ) @ ( rdnn @ n6 ),
inference(cnf,[status(esa)],[rdn_positive_less56]) ).
thf(less_or_equal,axiom,
! [X: $i,Y: $i] :
( ( less_or_equal @ X @ Y )
<=> ( ( less @ X @ Y )
| ( X = Y ) ) ) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( less @ X1 @ X0 )
| ~ ( less_or_equal @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[less_or_equal]) ).
thf(sum_n2_n3_less_n6,conjecture,
! [X: $i] :
( ( sum @ n2 @ n3 @ X )
=> ( less @ X @ n6 ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X: $i] :
( ( sum @ n2 @ n3 @ X )
=> ( less @ X @ n6 ) ),
inference('cnf.neg',[status(esa)],[sum_n2_n3_less_n6]) ).
thf(zip_derived_cl148,plain,
~ ( less @ sk_ @ n6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl183,plain,
( ~ ( less_or_equal @ sk_ @ n6 )
| ( sk_ = n6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl148]) ).
thf(rdn2,axiom,
rdn_translate @ n2 @ ( rdn_pos @ ( rdnn @ n2 ) ) ).
thf(zip_derived_cl2,plain,
rdn_translate @ n2 @ ( rdn_pos @ ( rdnn @ n2 ) ),
inference(cnf,[status(esa)],[rdn2]) ).
thf(rdn5,axiom,
rdn_translate @ n5 @ ( rdn_pos @ ( rdnn @ n5 ) ) ).
thf(zip_derived_cl5,plain,
rdn_translate @ n5 @ ( rdn_pos @ ( rdnn @ n5 ) ),
inference(cnf,[status(esa)],[rdn5]) ).
thf(rdn3,axiom,
rdn_translate @ n3 @ ( rdn_pos @ ( rdnn @ n3 ) ) ).
thf(zip_derived_cl3,plain,
rdn_translate @ n3 @ ( rdn_pos @ ( rdnn @ n3 ) ),
inference(cnf,[status(esa)],[rdn3]) ).
thf(sum_entry_point_pos_pos,axiom,
! [X: $i,Y: $i,Z: $i,RDN_X: $i,RDN_Y: $i,RDN_Z: $i] :
( ( ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
& ( rdn_add_with_carry @ ( rdnn @ n0 ) @ RDN_X @ RDN_Y @ RDN_Z )
& ( rdn_translate @ Z @ ( rdn_pos @ RDN_Z ) ) )
=> ( sum @ X @ Y @ Z ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( sum @ X0 @ X1 @ X2 )
| ~ ( rdn_translate @ X1 @ ( rdn_pos @ X3 ) )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ X4 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ X4 @ X3 @ X5 )
| ~ ( rdn_translate @ X2 @ ( rdn_pos @ X5 ) ) ),
inference(cnf,[status(esa)],[sum_entry_point_pos_pos]) ).
thf(zip_derived_cl521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( rdn_translate @ X1 @ ( rdn_pos @ X0 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ X2 @ ( rdnn @ n3 ) @ X0 )
| ~ ( rdn_translate @ X3 @ ( rdn_pos @ X2 ) )
| ( sum @ X3 @ n3 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl33]) ).
thf(zip_derived_cl4318,plain,
! [X0: $i,X1: $i] :
( ( sum @ X0 @ n3 @ n5 )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ X1 ) )
| ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ X1 @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl521]) ).
thf(zip_derived_cl4429,plain,
( ~ ( rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) )
| ( sum @ n2 @ n3 @ n5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4318]) ).
thf(rdn_digit_add_n5_n0_n5_n0,axiom,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) ).
thf(zip_derived_cl97,plain,
rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ),
inference(cnf,[status(esa)],[rdn_digit_add_n5_n0_n5_n0]) ).
thf(rdn_digit_add_n2_n3_n5_n0,axiom,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ) ).
thf(zip_derived_cl70,plain,
rdn_digit_add @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ) @ ( rdnn @ n0 ),
inference(cnf,[status(esa)],[rdn_digit_add_n2_n3_n5_n0]) ).
thf(add_digit_digit_digit,axiom,
! [C: $i,D1: $i,D2: $i,RD: $i,ID: $i] :
( ( ( rdn_digit_add @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ ID ) @ ( rdnn @ n0 ) )
& ( rdn_digit_add @ ( rdnn @ ID ) @ ( rdnn @ C ) @ ( rdnn @ RD ) @ ( rdnn @ n0 ) ) )
=> ( rdn_add_with_carry @ ( rdnn @ C ) @ ( rdnn @ D1 ) @ ( rdnn @ D2 ) @ ( rdnn @ RD ) ) ) ).
thf(zip_derived_cl42,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( rdn_add_with_carry @ ( rdnn @ X0 ) @ ( rdnn @ X1 ) @ ( rdnn @ X2 ) @ ( rdnn @ X3 ) )
| ~ ( rdn_digit_add @ ( rdnn @ X1 ) @ ( rdnn @ X2 ) @ ( rdnn @ X4 ) @ ( rdnn @ n0 ) )
| ~ ( rdn_digit_add @ ( rdnn @ X4 ) @ ( rdnn @ X0 ) @ ( rdnn @ X3 ) @ ( rdnn @ n0 ) ) ),
inference(cnf,[status(esa)],[add_digit_digit_digit]) ).
thf(zip_derived_cl11703,plain,
! [X0: $i,X1: $i] :
( ~ ( rdn_digit_add @ ( rdnn @ n5 ) @ ( rdnn @ X1 ) @ ( rdnn @ X0 ) @ ( rdnn @ n0 ) )
| ( rdn_add_with_carry @ ( rdnn @ X1 ) @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl42]) ).
thf(zip_derived_cl16397,plain,
rdn_add_with_carry @ ( rdnn @ n0 ) @ ( rdnn @ n2 ) @ ( rdnn @ n3 ) @ ( rdnn @ n5 ),
inference('sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl11703]) ).
thf(zip_derived_cl16437,plain,
sum @ n2 @ n3 @ n5,
inference(demod,[status(thm)],[zip_derived_cl4429,zip_derived_cl16397]) ).
thf(zip_derived_cl147,plain,
sum @ n2 @ n3 @ sk_,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(unique_sum,axiom,
! [X: $i,Y: $i,Z1: $i,Z2: $i] :
( ( ( sum @ X @ Y @ Z1 )
& ( sum @ X @ Y @ Z2 ) )
=> ( Z1 = Z2 ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( sum @ X0 @ X1 @ X2 )
| ~ ( sum @ X0 @ X1 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique_sum]) ).
thf(zip_derived_cl157,plain,
! [X0: $i] :
( ( sk_ = X0 )
| ~ ( sum @ n2 @ n3 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl147,zip_derived_cl39]) ).
thf(zip_derived_cl16442,plain,
sk_ = n5,
inference('sup-',[status(thm)],[zip_derived_cl16437,zip_derived_cl157]) ).
thf(rdn6,axiom,
rdn_translate @ n6 @ ( rdn_pos @ ( rdnn @ n6 ) ) ).
thf(zip_derived_cl6,plain,
rdn_translate @ n6 @ ( rdn_pos @ ( rdnn @ n6 ) ),
inference(cnf,[status(esa)],[rdn6]) ).
thf(zip_derived_cl15_001,plain,
rdn_positive_less @ ( rdnn @ n5 ) @ ( rdnn @ n6 ),
inference(cnf,[status(esa)],[rdn_positive_less56]) ).
thf(zip_derived_cl5_002,plain,
rdn_translate @ n5 @ ( rdn_pos @ ( rdnn @ n5 ) ),
inference(cnf,[status(esa)],[rdn5]) ).
thf(less_entry_point_pos_pos,axiom,
! [X: $i,Y: $i,RDN_X: $i,RDN_Y: $i] :
( ( ( rdn_translate @ X @ ( rdn_pos @ RDN_X ) )
& ( rdn_translate @ Y @ ( rdn_pos @ RDN_Y ) )
& ( rdn_positive_less @ RDN_X @ RDN_Y ) )
=> ( less @ X @ Y ) ) ).
thf(zip_derived_cl23,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( less @ X0 @ X1 )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ X2 ) )
| ~ ( rdn_translate @ X1 @ ( rdn_pos @ X3 ) )
| ~ ( rdn_positive_less @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[less_entry_point_pos_pos]) ).
thf(zip_derived_cl185,plain,
! [X0: $i,X1: $i] :
( ~ ( rdn_positive_less @ ( rdnn @ n5 ) @ X0 )
| ~ ( rdn_translate @ X1 @ ( rdn_pos @ X0 ) )
| ( less @ n5 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl23]) ).
thf(zip_derived_cl220,plain,
! [X0: $i] :
( ( less @ n5 @ X0 )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n6 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl185]) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ( less_or_equal @ X0 @ X1 )
| ~ ( less @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[less_or_equal]) ).
thf(zip_derived_cl253,plain,
! [X0: $i] :
( ~ ( rdn_translate @ X0 @ ( rdn_pos @ ( rdnn @ n6 ) ) )
| ( less_or_equal @ n5 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl220,zip_derived_cl30]) ).
thf(zip_derived_cl271,plain,
less_or_equal @ n5 @ n6,
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl253]) ).
thf(zip_derived_cl16442_003,plain,
sk_ = n5,
inference('sup-',[status(thm)],[zip_derived_cl16437,zip_derived_cl157]) ).
thf(zip_derived_cl16448,plain,
n5 = n6,
inference(demod,[status(thm)],[zip_derived_cl183,zip_derived_cl16442,zip_derived_cl271,zip_derived_cl16442]) ).
thf(zip_derived_cl5_004,plain,
rdn_translate @ n5 @ ( rdn_pos @ ( rdnn @ n5 ) ),
inference(cnf,[status(esa)],[rdn5]) ).
thf(zip_derived_cl23_005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( less @ X0 @ X1 )
| ~ ( rdn_translate @ X0 @ ( rdn_pos @ X2 ) )
| ~ ( rdn_translate @ X1 @ ( rdn_pos @ X3 ) )
| ~ ( rdn_positive_less @ X2 @ X3 ) ),
inference(cnf,[status(esa)],[less_entry_point_pos_pos]) ).
thf(zip_derived_cl155,plain,
! [X0: $i,X1: $i] :
( ~ ( rdn_positive_less @ X0 @ X0 )
| ~ ( rdn_translate @ X1 @ ( rdn_pos @ X0 ) )
| ( less @ X1 @ X1 ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl23]) ).
thf(less_property,axiom,
! [X: $i,Y: $i] :
( ( less @ X @ Y )
<=> ( ~ ( less @ Y @ X )
& ( Y != X ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( X1 != X0 )
| ~ ( less @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[less_property]) ).
thf(zip_derived_cl149,plain,
! [X0: $i] :
~ ( less @ X0 @ X0 ),
inference(eq_res,[status(thm)],[zip_derived_cl27]) ).
thf(zip_derived_cl156,plain,
! [X0: $i,X1: $i] :
( ~ ( rdn_translate @ X1 @ ( rdn_pos @ X0 ) )
| ~ ( rdn_positive_less @ X0 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl155,zip_derived_cl149]) ).
thf(zip_derived_cl187,plain,
~ ( rdn_positive_less @ ( rdnn @ n5 ) @ ( rdnn @ n5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl156]) ).
thf(zip_derived_cl16452,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl16448,zip_derived_cl187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM345+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zVFXkLlsMk true
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 16:18:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.84/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.84/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.84/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.84/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.84/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.84/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.84/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.37/0.82 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 13.71/2.58 % Solved by fo/fo7.sh.
% 13.71/2.58 % done 4703 iterations in 1.801s
% 13.71/2.58 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 13.71/2.58 % SZS output start Refutation
% See solution above
% 13.71/2.58
% 13.71/2.58
% 13.71/2.58 % Terminating...
% 14.32/2.68 % Runner terminated.
% 14.32/2.68 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------